Zhao, J. G.; Liu, G. R.; Huo, S. H.; Li, Z. R. Modes and modal analysis of three-dimensional (3D) structures based on the smoothed finite element methods (S-FEMs) using automatically generatable tetrahedral meshes. (English) Zbl 07568129 Eng. Anal. Bound. Elem. 140, 262-281 (2022). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{J. G. Zhao} et al., Eng. Anal. Bound. Elem. 140, 262--281 (2022; Zbl 07568129) Full Text: DOI OpenURL
Zhang, Mengchen; Liu, Fawang; Turner, Ian W.; Anh, Vo V. A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian. (English) Zbl 07567387 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106666, 20 p. (2022). MSC: 65Mxx 65Fxx 35Rxx PDF BibTeX XML Cite \textit{M. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106666, 20 p. (2022; Zbl 07567387) Full Text: DOI OpenURL
Jia, Xiaojing; Liang, Xin; Shen, Chungen; Zhang, Lei-Hong Solving the cubic regularization model by a nested restarting Lanczos method. (English) Zbl 07536720 SIAM J. Matrix Anal. Appl. 43, No. 2, 812-839 (2022). MSC: 90C30 90C06 65K05 49M15 65F15 PDF BibTeX XML Cite \textit{X. Jia} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 812--839 (2022; Zbl 07536720) Full Text: DOI OpenURL
Chen, Tyler; Greenbaum, Anne; Musco, Cameron; Musco, Christopher Error bounds for Lanczos-based matrix function approximation. (English) Zbl 07536719 SIAM J. Matrix Anal. Appl. 43, No. 2, 787-811 (2022). MSC: 65F60 65F50 68Q25 PDF BibTeX XML Cite \textit{T. Chen} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 787--811 (2022; Zbl 07536719) Full Text: DOI OpenURL
Cortinovis, Alice; Kressner, Daniel On randomized trace estimates for indefinite matrices with an application to determinants. (English) Zbl 07536706 Found. Comput. Math. 22, No. 3, 875-903 (2022). MSC: 65C05 65F40 65F60 68W20 60E15 PDF BibTeX XML Cite \textit{A. Cortinovis} and \textit{D. Kressner}, Found. Comput. Math. 22, No. 3, 875--903 (2022; Zbl 07536706) Full Text: DOI OpenURL
Archid, Atika; Bentbib, Abdeslem Hafid Global symplectic Lanczos method with application to matrix exponential approximation. (English) Zbl 07533926 J. Math. Model. 10, No. 1, 143-160 (2022). MSC: 65F10 15-XX PDF BibTeX XML Cite \textit{A. Archid} and \textit{A. H. Bentbib}, J. Math. Model. 10, No. 1, 143--160 (2022; Zbl 07533926) Full Text: DOI OpenURL
Liptaj, Andrej Higher accuracy order in differentiation-by-integration. (English) Zbl 07443845 Math. Model. Anal. 26, No. 2, 304-317 (2021). MSC: 65-XX 26A24 65D25 PDF BibTeX XML Cite \textit{A. Liptaj}, Math. Model. Anal. 26, No. 2, 304--317 (2021; Zbl 07443845) Full Text: DOI OpenURL
Baglama, James; Bella, Tom; Picucci, Jennifer Hybrid iterative refined method for computing a few extreme eigenpairs of a symmetric matrix. (English) Zbl 07418105 SIAM J. Sci. Comput. 43, No. 5, S200-S224 (2021). MSC: 65F15 65F50 15A18 PDF BibTeX XML Cite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 43, No. 5, S200--S224 (2021; Zbl 07418105) Full Text: DOI OpenURL
Urschel, John C. Uniform error estimates for the Lanczos method. (English) Zbl 07414035 SIAM J. Matrix Anal. Appl. 42, No. 3, 1423-1450 (2021). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{J. C. Urschel}, SIAM J. Matrix Anal. Appl. 42, No. 3, 1423--1450 (2021; Zbl 07414035) Full Text: DOI arXiv OpenURL
Hu, Leyu; Cai, Xingju Eigenvalue decomposition of real symmetric matrices with low computational precision. (Chinese. English summary) Zbl 07404476 Numer. Math., Nanjing 43, No. 2, 117-133 (2021). MSC: 65F15 PDF BibTeX XML Cite \textit{L. Hu} and \textit{X. Cai}, Numer. Math., Nanjing 43, No. 2, 117--133 (2021; Zbl 07404476) OpenURL
Zhang, Lei-Hong; Ma, Xijun; Shen, Chungen A structure-exploiting nested Lanczos-type iteration for the multiview canonical correlation analysis. (English) Zbl 07379633 SIAM J. Sci. Comput. 43, No. 4, A2685-A2713 (2021). MSC: 65F15 90C20 65C60 PDF BibTeX XML Cite \textit{L.-H. Zhang} et al., SIAM J. Sci. Comput. 43, No. 4, A2685--A2713 (2021; Zbl 07379633) Full Text: DOI OpenURL
Baglama, James; Bella, Tom; Picucci, Jennifer Hybrid iterative refined method for computing a few extreme eigenpairs of a symmetric matrix. (English) Zbl 07364305 SIAM J. Sci. Comput. 43, No. 3, S200-S224 (2021). MSC: 65F15 65F50 15A18 PDF BibTeX XML Cite \textit{J. Baglama} et al., SIAM J. Sci. Comput. 43, No. 3, S200--S224 (2021; Zbl 07364305) Full Text: DOI OpenURL
Manguoğlu, Murat; Mehrmann, Volker A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers. (English) Zbl 1464.65040 ETNA, Electron. Trans. Numer. Anal. 54, 370-391 (2021). MSC: 65F50 65F08 65F10 PDF BibTeX XML Cite \textit{M. Manguoğlu} and \textit{V. Mehrmann}, ETNA, Electron. Trans. Numer. Anal. 54, 370--391 (2021; Zbl 1464.65040) Full Text: DOI arXiv Link OpenURL
Li, Sheng-Kun; Wang, Mao-Xiao; Liu, Gang A global variant of the COCR method for the complex symmetric Sylvester matrix equation \(AX+XB=C\). (English) Zbl 07351736 Comput. Math. Appl. 94, 104-113 (2021). MSC: 65-XX 15-XX PDF BibTeX XML Cite \textit{S.-K. Li} et al., Comput. Math. Appl. 94, 104--113 (2021; Zbl 07351736) Full Text: DOI OpenURL
Ishikawa, Ken-Ichi; Sogabe, Tomohiro A thick-restart Lanczos type method for Hermitian \(J\)-symmetric eigenvalue problems. (English) Zbl 1467.65030 Japan J. Ind. Appl. Math. 38, No. 1, 233-256 (2021). MSC: 65F15 15A18 15A23 PDF BibTeX XML Cite \textit{K.-I. Ishikawa} and \textit{T. Sogabe}, Japan J. Ind. Appl. Math. 38, No. 1, 233--256 (2021; Zbl 1467.65030) Full Text: DOI arXiv OpenURL
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 PDF BibTeX XML Cite \textit{Z. Jia} and \textit{F. Wang}, SIAM J. Optim. 31, No. 1, 887--914 (2021; Zbl 1462.90083) Full Text: DOI arXiv OpenURL
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 PDF BibTeX XML Cite \textit{F. E. Curtis} et al., SIAM J. Optim. 31, No. 1, 518--544 (2021; Zbl 1461.90107) Full Text: DOI arXiv OpenURL
Miao, Cun-Qiang; Tan, Xue-Yuan On global convergence of subspace projection methods for Hermitian eigenvalue problems. (English) Zbl 1480.65083 Int. J. Comput. Math. 97, No. 10, 1982-1993 (2020). MSC: 65F15 65N25 PDF BibTeX XML Cite \textit{C.-Q. Miao} and \textit{X.-Y. Tan}, Int. J. Comput. Math. 97, No. 10, 1982--1993 (2020; Zbl 1480.65083) Full Text: DOI OpenURL
Zhang, Lu; Sun, Hai-Wei Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method. (English) Zbl 1475.65054 J. Appl. Math. Comput. 62, No. 1-2, 449-472 (2020). MSC: 65L06 65N22 65F10 65F15 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{H.-W. Sun}, J. Appl. Math. Comput. 62, No. 1--2, 449--472 (2020; Zbl 1475.65054) Full Text: DOI OpenURL
Il’in, V. P. On moment methods in Krylov subspaces. (English. Russian original) Zbl 07424670 Dokl. Math. 102, No. 3, 478-482 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 38-43 (2020). MSC: 65F10 65F35 44A60 PDF BibTeX XML Cite \textit{V. P. Il'in}, Dokl. Math. 102, No. 3, 478--482 (2020; Zbl 07424670); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 38--43 (2020) Full Text: DOI OpenURL
Wu, Yu Mao; Lou, Xin; Jin, Ya-Qiu; Hou, Zhaoguo; Xiao, Lizhi; Zou, Ning; Zhou, Hai Jing; Liu, Yang An efficient method for estimating the electromagnetic wave propagation in three dimensional optical waveguide structures. (English) Zbl 1473.78013 Commun. Comput. Phys. 28, No. 2, 661-678 (2020). MSC: 78M16 78A45 PDF BibTeX XML Cite \textit{Y. M. Wu} et al., Commun. Comput. Phys. 28, No. 2, 661--678 (2020; Zbl 1473.78013) Full Text: DOI OpenURL
Zhang, Lei-Hong; Li, Ren-Gang Krylov subspace methods for trust-region subproblem and beyond. (English) Zbl 1461.90089 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 721-740 (2020). MSC: 90C20 90C06 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{L.-H. Zhang} and \textit{R.-G. Li}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 721--740 (2020; Zbl 1461.90089) OpenURL
Salin, M. B.; Sokov, E. M.; Suvorov, A. S. Method of mode analysis for mechanoacoustic systems. (English. Russian original) Zbl 1462.76164 Mech. Solids 55, No. 8, 1318-1327 (2020); translation from Prikl. Mat. Mekh. 84, No. 2, 196-207 (2020). MSC: 76Q05 76M99 PDF BibTeX XML Cite \textit{M. B. Salin} et al., Mech. Solids 55, No. 8, 1318--1327 (2020; Zbl 1462.76164); translation from Prikl. Mat. Mekh. 84, No. 2, 196--207 (2020) Full Text: DOI OpenURL
Montoison, Alexis; Orban, Dominique BiLQ: an iterative method for nonsymmetric linear systems with a quasi-minimum error property. (English) Zbl 1458.65032 SIAM J. Matrix Anal. Appl. 41, No. 3, 1145-1166 (2020). MSC: 65F10 65F25 65F50 PDF BibTeX XML Cite \textit{A. Montoison} and \textit{D. Orban}, SIAM J. Matrix Anal. Appl. 41, No. 3, 1145--1166 (2020; Zbl 1458.65032) Full Text: DOI arXiv OpenURL
Wang, Yunjie; Wu, Gang New strategies for determining backward perturbation bound of approximate two-sided Krylov subspaces. (English) Zbl 07286034 Numer. Linear Algebra Appl. 27, No. 6, e2324, 18 p. (2020). MSC: 65F15 65F10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{G. Wu}, Numer. Linear Algebra Appl. 27, No. 6, e2324, 18 p. (2020; Zbl 07286034) Full Text: DOI OpenURL
He, Qinglong; Wang, Yanfei Inexact Newton-type methods based on Lanczos orthonormal method and application for full waveform inversion. (English) Zbl 1451.65030 Inverse Probl. 36, No. 11, Article ID 115007, 27 p. (2020). MSC: 65F10 65F22 PDF BibTeX XML Cite \textit{Q. He} and \textit{Y. Wang}, Inverse Probl. 36, No. 11, Article ID 115007, 27 p. (2020; Zbl 1451.65030) Full Text: DOI OpenURL
Henneke, Felix; Lin, Lin; Vorwerk, Christian; Draxl, Claudia; Klein, Rupert; Yang, Chao Fast optical absorption spectra calculations for periodic solid state systems. (English) Zbl 1465.35346 Commun. Appl. Math. Comput. Sci. 15, No. 1, 89-113 (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 81Q40 81V70 82D80 82M36 65F15 65Y05 PDF BibTeX XML Cite \textit{F. Henneke} et al., Commun. Appl. Math. Comput. Sci. 15, No. 1, 89--113 (2020; Zbl 1465.35346) Full Text: DOI arXiv OpenURL
Aihara, Kensuke GPBi-CGstab(\(L\)): a Lanczos-type product method unifying Bi-CGstab(\(L\)) and GPBi-CG. (English) Zbl 07217206 Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020). MSC: 65F10 65F08 PDF BibTeX XML Cite \textit{K. Aihara}, Numer. Linear Algebra Appl. 27, No. 3, e2298, 22 p. (2020; Zbl 07217206) Full Text: DOI OpenURL
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei Exponential Runge-Kutta method for two-dimensional nonlinear fractional complex Ginzburg-Landau equations. (English) Zbl 1442.65340 J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020). MSC: 65N22 65L06 65F15 65F08 26A33 35R11 35Q56 PDF BibTeX XML Cite \textit{L. Zhang} et al., J. Sci. Comput. 83, No. 3, Paper No. 59, 24 p. (2020; Zbl 1442.65340) Full Text: DOI OpenURL
Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Xi-Le; Zhao, Yong-Liang Fast implicit integration factor method for nonlinear space Riesz fractional reaction-diffusion equations. (English) Zbl 1437.65100 J. Comput. Appl. Math. 378, Article ID 112935, 16 p. (2020). MSC: 65M06 65M20 65Y20 65F10 65F08 65F15 15B05 35K57 26A33 35R11 PDF BibTeX XML Cite \textit{H.-Y. Jian} et al., J. Comput. Appl. Math. 378, Article ID 112935, 16 p. (2020; Zbl 1437.65100) Full Text: DOI OpenURL
Archid, Atika; Bentbib, Abdeslem Hafid; Agoujil, Said A block \(J\)-Lanczos method for Hamiltonian matrices. (English) Zbl 1431.65040 ETNA, Electron. Trans. Numer. Anal. 52, 26-42 (2020). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{A. Archid} et al., ETNA, Electron. Trans. Numer. Anal. 52, 26--42 (2020; Zbl 1431.65040) Full Text: DOI Link OpenURL
Brás, C. P.; Martínez, J. M.; Raydan, M. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. (English) Zbl 1432.90119 Comput. Optim. Appl. 75, No. 1, 169-205 (2020). MSC: 90C26 65K10 90C06 PDF BibTeX XML Cite \textit{C. P. Brás} et al., Comput. Optim. Appl. 75, No. 1, 169--205 (2020; Zbl 1432.90119) Full Text: DOI Link OpenURL
Zamarashkin, N. L.; Zheltkov, D. A. GPU acceleration of dense matrix and block operations for Lanczos method for systems over \(\mathrm{GF}(2)\). (English) Zbl 1434.94077 Lobachevskii J. Math. 40, No. 11, 1881-1891 (2019). MSC: 94A60 11T71 11Y16 68W10 PDF BibTeX XML Cite \textit{N. L. Zamarashkin} and \textit{D. A. Zheltkov}, Lobachevskii J. Math. 40, No. 11, 1881--1891 (2019; Zbl 1434.94077) Full Text: DOI OpenURL
Nechepurenko, Yu. M.; Khristichenko, M. Yu. Computation of optimal disturbances for delay systems. (English. Russian original) Zbl 07126099 Comput. Math. Math. Phys. 59, No. 5, 731-746 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 5, 775-791 (2019). MSC: 65L03 92-08 PDF BibTeX XML Cite \textit{Yu. M. Nechepurenko} and \textit{M. Yu. Khristichenko}, Comput. Math. Math. Phys. 59, No. 5, 731--746 (2019; Zbl 07126099); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 5, 775--791 (2019) Full Text: DOI OpenURL
Song, Liqiang; Yang, Weihong A block Lanczos method for the CDT subproblem. (English) Zbl 1438.65066 J. Comput. Math. 37, No. 2, 240-260 (2019). MSC: 65F15 65K05 PDF BibTeX XML Cite \textit{L. Song} and \textit{W. Yang}, J. Comput. Math. 37, No. 2, 240--260 (2019; Zbl 1438.65066) Full Text: DOI OpenURL
Jia, Zhigang; Ng, Michael K.; Song, Guang-Jing Lanczos method for large-scale quaternion singular value decomposition. (English) Zbl 07107363 Numer. Algorithms 82, No. 2, 699-717 (2019). MSC: 65-XX PDF BibTeX XML Cite \textit{Z. Jia} et al., Numer. Algorithms 82, No. 2, 699--717 (2019; Zbl 07107363) Full Text: DOI OpenURL
Gorb, Yuliya; Kramarenko, Vasiliy; Kuznetsov, Yuri Preconditioned iterative methods for diffusion problems with high-contrast inclusions. (English) Zbl 1449.65058 Numer. Linear Algebra Appl. 26, No. 4, e2243, 17 p. (2019). Reviewer: Miroslav Rozloznik MSC: 65F10 65F08 65N22 PDF BibTeX XML Cite \textit{Y. Gorb} et al., Numer. Linear Algebra Appl. 26, No. 4, e2243, 17 p. (2019; Zbl 1449.65058) Full Text: DOI arXiv OpenURL
Ju, S. H.; Hsu, H. H. An out-of-core eigen-solver with OpenMP parallel scheme for large spare damped system. (English) Zbl 1480.65082 Int. J. Comput. Methods 16, No. 7, Article ID 1950038, 13 p. (2019). MSC: 65F15 65Y05 PDF BibTeX XML Cite \textit{S. H. Ju} and \textit{H. H. Hsu}, Int. J. Comput. Methods 16, No. 7, Article ID 1950038, 13 p. (2019; Zbl 1480.65082) Full Text: DOI OpenURL
Cardoso, João R.; Sadeghi, Amir Computation of matrix gamma function. (English) Zbl 07074116 BIT 59, No. 2, 343-370 (2019). MSC: 65F30 65F60 33B15 PDF BibTeX XML Cite \textit{J. R. Cardoso} and \textit{A. Sadeghi}, BIT 59, No. 2, 343--370 (2019; Zbl 07074116) Full Text: DOI arXiv OpenURL
Li, Sheng-Kun; Huang, Ting-Zhu A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation \(X + A \overline{X} B = C\). (English) Zbl 1415.65101 J. Comput. Appl. Math. 357, 1-11 (2019). MSC: 65F30 15A24 65F10 PDF BibTeX XML Cite \textit{S.-K. Li} and \textit{T.-Z. Huang}, J. Comput. Appl. Math. 357, 1--11 (2019; Zbl 1415.65101) Full Text: DOI OpenURL
Sadkane, Miloud On alternating maximization algorithm for computing the hump of matrix powers. (English) Zbl 1433.65073 J. Comput. Appl. Math. 353, 154-163 (2019). MSC: 65F35 65F60 PDF BibTeX XML Cite \textit{M. Sadkane}, J. Comput. Appl. Math. 353, 154--163 (2019; Zbl 1433.65073) Full Text: DOI OpenURL
Song, Liqiang; Yang, Wei Hong A block Lanczos method for the extended trust-region subproblem. (English) Zbl 1412.90102 SIAM J. Optim. 29, No. 1, 571-594 (2019). MSC: 90C20 90C26 90C30 65K05 PDF BibTeX XML Cite \textit{L. Song} and \textit{W. H. Yang}, SIAM J. Optim. 29, No. 1, 571--594 (2019; Zbl 1412.90102) Full Text: DOI OpenURL
Estrin, Ron; Orban, Dominique; Saunders, Michael Euclidean-norm error bounds for SYMMLQ and CG. (English) Zbl 1409.65015 SIAM J. Matrix Anal. Appl. 40, No. 1, 235-253 (2019). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{R. Estrin} et al., SIAM J. Matrix Anal. Appl. 40, No. 1, 235--253 (2019; Zbl 1409.65015) Full Text: DOI OpenURL
Hou, Thomas Y.; Huang, De; Lam, Ka Chun; Zhang, Ziyun A fast hierarchically preconditioned eigensolver based on multiresolution matrix decomposition. (English) Zbl 1455.65053 Multiscale Model. Simul. 17, No. 1, 260-306 (2019). MSC: 65F15 15A18 15A12 65F08 PDF BibTeX XML Cite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 17, No. 1, 260--306 (2019; Zbl 1455.65053) Full Text: DOI arXiv OpenURL
Xie, Pengpeng; Xiang, Hua; Wei, Yimin Randomized algorithms for total least squares problems. (English) Zbl 07031719 Numer. Linear Algebra Appl. 26, No. 1, e2219, 16 p. (2019). MSC: 15A09 65F35 PDF BibTeX XML Cite \textit{P. Xie} et al., Numer. Linear Algebra Appl. 26, No. 1, e2219, 16 p. (2019; Zbl 07031719) Full Text: DOI OpenURL
Deuflhard, Peter; Hohmann, Andreas Numerical mathematics. 1: An algorithmically oriented introduction. 5th revised and expanded edition. (Numerische Mathematik 1. Eine algorithmisch orientierte Einführung.) (English) Zbl 1404.65001 de Gruyter Studium. Berlin: de Gruyter (ISBN 978-3-11-061421-3/pbk; 978-3-11-061432-9/ebook). xii, 348 p. (2019). MSC: 65-01 65H10 65Q20 65Fxx 65Dxx 65C60 62J05 65G50 65T50 65Bxx 65Cxx PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{A. Hohmann}, Numerische Mathematik 1. Eine algorithmisch orientierte Einführung. 5th revised and expanded edition. Berlin: de Gruyter (2019; Zbl 1404.65001) Full Text: DOI OpenURL
Maharani, M.; Salhi, A.; Mashwani, W. K.; Yeniay, Ozgur; Larasati, N.; Triyani, Triyani Solving large scale systems of linear equations with a stabilized Lanczos-type algorithms running on a cloud computing platform. (English) Zbl 1470.65055 Hacet. J. Math. Stat. 47, No. 6, 1730-1741 (2018). MSC: 65F10 65Y05 PDF BibTeX XML Cite \textit{M. Maharani} et al., Hacet. J. Math. Stat. 47, No. 6, 1730--1741 (2018; Zbl 1470.65055) Full Text: Link OpenURL
Lee, Dongjin; Hoshi, Takeo; Sogabe, Tomohiro; Miyatake, Yuto; Zhang, Shao-Liang Solution of the \(k\)-th eigenvalue problem in large-scale electronic structure calculations. (English) Zbl 1415.65088 J. Comput. Phys. 371, 618-632 (2018). MSC: 65F15 65F50 65Z05 PDF BibTeX XML Cite \textit{D. Lee} et al., J. Comput. Phys. 371, 618--632 (2018; Zbl 1415.65088) Full Text: DOI arXiv OpenURL
Bentbib, A. H.; El Ghomari, M.; Jagels, C.; Jbilou, K.; Reichel, L. The extended global Lanczos method for matrix function approximation. (English) Zbl 1408.65018 ETNA, Electron. Trans. Numer. Anal. 50, 144-163 (2018). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F30 15A15 65F60 33C47 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., ETNA, Electron. Trans. Numer. Anal. 50, 144--163 (2018; Zbl 1408.65018) Full Text: DOI Link OpenURL
Zhou, Ming Convergence estimates of nonrestarted and restarted block-Lanczos methods. (English) Zbl 06987005 Numer. Linear Algebra Appl. 25, No. 5, e2182, 19 p. (2018). MSC: 65F15 PDF BibTeX XML Cite \textit{M. Zhou}, Numer. Linear Algebra Appl. 25, No. 5, e2182, 19 p. (2018; Zbl 06987005) Full Text: DOI OpenURL
Chen, Jie; Saad, Yousef A posteriori error estimate for computing \(\text{tr}(f(A))\) by using the Lanczos method. (English) Zbl 06986998 Numer. Linear Algebra Appl. 25, No. 5, e2170, 20 p. (2018). MSC: 65F60 PDF BibTeX XML Cite \textit{J. Chen} and \textit{Y. Saad}, Numer. Linear Algebra Appl. 25, No. 5, e2170, 20 p. (2018; Zbl 06986998) Full Text: DOI arXiv OpenURL
Kuznetsov, Yuri A. Preconditioning for diffusion problem with small size high resolution inclusions. (English) Zbl 1394.76119 Russ. J. Numer. Anal. Math. Model. 33, No. 4, 243-251 (2018). MSC: 76R50 PDF BibTeX XML Cite \textit{Y. A. Kuznetsov}, Russ. J. Numer. Anal. Math. Model. 33, No. 4, 243--251 (2018; Zbl 1394.76119) Full Text: DOI OpenURL
Zhang, Leihong; Yang, Weihong; Shen, Chungen; Feng, Jiang Error bounds of Lanczos approach for trust-region subproblem. (English) Zbl 1392.90088 Front. Math. China 13, No. 2, 459-481 (2018). MSC: 90C20 90C06 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{L. Zhang} et al., Front. Math. China 13, No. 2, 459--481 (2018; Zbl 1392.90088) Full Text: DOI OpenURL
Zhang, Lei-Hong; Shen, Chungen A nested Lanczos method for the trust-region subproblem. (English) Zbl 1402.90113 SIAM J. Sci. Comput. 40, No. 4, A2005-A2032 (2018). MSC: 90C20 90C06 65F10 65F15 65K05 PDF BibTeX XML Cite \textit{L.-H. Zhang} and \textit{C. Shen}, SIAM J. Sci. Comput. 40, No. 4, A2005--A2032 (2018; Zbl 1402.90113) Full Text: DOI OpenURL
Carmon, Yair; Duchi, John C.; Hinder, Oliver; Sidford, Aaron Accelerated methods for nonconvex optimization. (English) Zbl 1400.90250 SIAM J. Optim. 28, No. 2, 1751-1772 (2018). MSC: 90C26 90C06 90C30 PDF BibTeX XML Cite \textit{Y. Carmon} et al., SIAM J. Optim. 28, No. 2, 1751--1772 (2018; Zbl 1400.90250) Full Text: DOI arXiv OpenURL
Niu, Datian; Meng, Jiana; Li, Hongying A new shift strategy for the implicitly restarted refined harmonic Lanczos method. (English) Zbl 1382.65103 J. Comput. Appl. Math. 336, 458-467 (2018). MSC: 65F15 PDF BibTeX XML Cite \textit{D. Niu} et al., J. Comput. Appl. Math. 336, 458--467 (2018; Zbl 1382.65103) Full Text: DOI OpenURL
Grcar, Joseph F. Monotonic linear recurrences. (English) Zbl 1376.65151 Linear Algebra Appl. 537, 12-21 (2018). MSC: 65Q30 65D20 33C10 65F15 65F50 65F10 33F05 PDF BibTeX XML Cite \textit{J. F. Grcar}, Linear Algebra Appl. 537, 12--21 (2018; Zbl 1376.65151) Full Text: DOI OpenURL
Ye, Qiang Accurate inverses for computing eigenvalues of extremely ill-conditioned matrices and differential operators. (English) Zbl 1376.65057 Math. Comput. 87, No. 309, 237-259 (2018). MSC: 65F15 65F35 65N06 65N25 PDF BibTeX XML Cite \textit{Q. Ye}, Math. Comput. 87, No. 309, 237--259 (2018; Zbl 1376.65057) Full Text: DOI arXiv OpenURL
Issa, K.; Adeniyi, R. B.; Yisa, B. M. Generalized error estimation of the tau method in ordinary differential equations. (English) Zbl 1474.34108 J. Niger. Math. Soc. 36, No. 1, 113-137 (2017). MSC: 34B05 34B15 65L05 65L10 PDF BibTeX XML Cite \textit{K. Issa} et al., J. Niger. Math. Soc. 36, No. 1, 113--137 (2017; Zbl 1474.34108) Full Text: Link OpenURL
Chen, Aimin; Liu, Fawang A finite volume unstructured mesh method for fractional-in-space Allen-Cahn equation. (English) Zbl 1424.65145 Chin. Q. J. Math. 32, No. 4, 345-354 (2017). MSC: 65M08 PDF BibTeX XML Cite \textit{A. Chen} and \textit{F. Liu}, Chin. Q. J. Math. 32, No. 4, 345--354 (2017; Zbl 1424.65145) Full Text: DOI OpenURL
Cherepniov, M. A.; Zamarashkin, N. L. The universal block Lanczos-Padé method for linear systems over large prime fields. (English. Russian original) Zbl 1404.65038 J. Math. Sci., New York 221, No. 3, 461-478 (2017); translation from Fundam. Prikl. Mat. 19, No. 6, 225-249 (2014). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F50 65F10 41A21 65Y05 65Y20 PDF BibTeX XML Cite \textit{M. A. Cherepniov} and \textit{N. L. Zamarashkin}, J. Math. Sci., New York 221, No. 3, 461--478 (2017; Zbl 1404.65038); translation from Fundam. Prikl. Mat. 19, No. 6, 225--249 (2014) Full Text: DOI OpenURL
Bosch, Jessica; Greif, Chen Numerical solution of linear eigenvalue problems. (English) Zbl 1385.65029 Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 117-153 (2017). MSC: 65F15 65F50 PDF BibTeX XML Cite \textit{J. Bosch} and \textit{C. Greif}, Contemp. Math. 700, 117--153 (2017; Zbl 1385.65029) Full Text: DOI Link OpenURL
Gaaf, Sarah W.; Jarlebring, Elias The infinite bi-Lanczos method for nonlinear eigenvalue problems. (English) Zbl 1392.65093 SIAM J. Sci. Comput. 39, No. 5, S898-S919 (2017). MSC: 65F15 65H17 65F50 PDF BibTeX XML Cite \textit{S. W. Gaaf} and \textit{E. Jarlebring}, SIAM J. Sci. Comput. 39, No. 5, S898--S919 (2017; Zbl 1392.65093) Full Text: DOI arXiv OpenURL
Zhang, Lei-Hong; Shen, Chungen; Li, Ren-Cang On the generalized Lanczos trust-region method. (English) Zbl 1380.90210 SIAM J. Optim. 27, No. 3, 2110-2142 (2017). MSC: 90C20 90C06 65F10 65F15 65F35 PDF BibTeX XML Cite \textit{L.-H. Zhang} et al., SIAM J. Optim. 27, No. 3, 2110--2142 (2017; Zbl 1380.90210) Full Text: DOI OpenURL
Schmidt, Burkhard; Thalmeier, Peter Frustrated two dimensional quantum magnets. (English) Zbl 1370.81241 Phys. Rep. 703, 1-59 (2017). MSC: 81V70 82B20 82C20 82C26 82B26 82D40 PDF BibTeX XML Cite \textit{B. Schmidt} and \textit{P. Thalmeier}, Phys. Rep. 703, 1--59 (2017; Zbl 1370.81241) Full Text: DOI arXiv OpenURL
Kressner, Daniel; Periša, Lana Recompression of Hadamard products of tensors in Tucker format. (English) Zbl 1373.65031 SIAM J. Sci. Comput. 39, No. 5, A1879-A1902 (2017). MSC: 65F30 15A69 65Y20 62-07 65F10 PDF BibTeX XML Cite \textit{D. Kressner} and \textit{L. Periša}, SIAM J. Sci. Comput. 39, No. 5, A1879--A1902 (2017; Zbl 1373.65031) Full Text: DOI OpenURL
Li, Ruipeng; Saad, Yousef Low-rank correction methods for algebraic domain decomposition preconditioners. (English) Zbl 1371.65029 SIAM J. Matrix Anal. Appl. 38, No. 3, 807-828 (2017). MSC: 65F08 65F10 65Y05 65F50 65N55 65F25 35J05 74B05 PDF BibTeX XML Cite \textit{R. Li} and \textit{Y. Saad}, SIAM J. Matrix Anal. Appl. 38, No. 3, 807--828 (2017; Zbl 1371.65029) Full Text: DOI arXiv OpenURL
Frommer, Andreas; Lund, Kathryn; Schweitzer, Marcel; Szyld, Daniel B. The Radau-Lanczos method for matrix functions. (English) Zbl 1371.65042 SIAM J. Matrix Anal. Appl. 38, No. 3, 710-732 (2017). MSC: 65F60 15B57 15B48 65D32 PDF BibTeX XML Cite \textit{A. Frommer} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 710--732 (2017; Zbl 1371.65042) Full Text: DOI OpenURL
August, Moritz; Bañuls, Mari Carmen; Huckle, Thomas On the approximation of functionals of very large Hermitian matrices represented as matrix product operators. (English) Zbl 1369.65063 ETNA, Electron. Trans. Numer. Anal. 46, 215-232 (2017). MSC: 65F60 65D15 15B57 65F15 15A69 PDF BibTeX XML Cite \textit{M. August} et al., ETNA, Electron. Trans. Numer. Anal. 46, 215--232 (2017; Zbl 1369.65063) Full Text: arXiv EMIS OpenURL
Onunwor, Enyinda; Reichel, Lothar On the computation of a truncated SVD of a large linear discrete ill-posed problem. (English) Zbl 1368.65063 Numer. Algorithms 75, No. 2, 359-380 (2017). MSC: 65F20 65F22 PDF BibTeX XML Cite \textit{E. Onunwor} and \textit{L. Reichel}, Numer. Algorithms 75, No. 2, 359--380 (2017; Zbl 1368.65063) Full Text: DOI OpenURL
Wang, Hao; Ye, Qiang Error bounds for the Krylov subspace methods for computations of matrix exponentials. (English) Zbl 1365.65136 SIAM J. Matrix Anal. Appl. 38, No. 1, 155-187 (2017). MSC: 65F60 65F10 15A16 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Q. Ye}, SIAM J. Matrix Anal. Appl. 38, No. 1, 155--187 (2017; Zbl 1365.65136) Full Text: DOI arXiv OpenURL
Nechepurenko, Yu. M.; Sadkane, M. Computing humps of the matrix exponential. (English) Zbl 1360.65136 J. Comput. Appl. Math. 319, 87-96 (2017). MSC: 65F60 65F10 65F50 PDF BibTeX XML Cite \textit{Yu. M. Nechepurenko} and \textit{M. Sadkane}, J. Comput. Appl. Math. 319, 87--96 (2017; Zbl 1360.65136) Full Text: DOI OpenURL
Niu, Datian; Meng, Jiana Improving approximate singular triplets in Lanczos bidiagonalization method. (English) Zbl 1357.65045 Taiwanese J. Math. 20, No. 4, 943-956 (2016). MSC: 65F15 15A23 PDF BibTeX XML Cite \textit{D. Niu} and \textit{J. Meng}, Taiwanese J. Math. 20, No. 4, 943--956 (2016; Zbl 1357.65045) Full Text: DOI OpenURL
Xie, Dongxiu; Xu, An-Bao; Peng, Zhenyun Least-squares symmetric solution to the matrix equation \(AXB=C\) with the norm inequality constraint. (English) Zbl 1360.65131 Int. J. Comput. Math. 93, No. 9, 1564-1578 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 65F10 15A24 65F20 PDF BibTeX XML Cite \textit{D. Xie} et al., Int. J. Comput. Math. 93, No. 9, 1564--1578 (2016; Zbl 1360.65131) Full Text: DOI OpenURL
Li, Ruipeng; Xi, Yuanzhe; Saad, Yousef Schur complement-based domain decomposition preconditioners with low-rank corrections. (English) Zbl 1399.65238 Numer. Linear Algebra Appl. 23, No. 4, 706-729 (2016). Reviewer: Miroslav Tůma (Praha) MSC: 65M55 65F08 65F10 65F50 35J05 15A18 PDF BibTeX XML Cite \textit{R. Li} et al., Numer. Linear Algebra Appl. 23, No. 4, 706--729 (2016; Zbl 1399.65238) Full Text: DOI arXiv OpenURL
Zhang, Jin; Li, Chunguang; Jing, Hefang A modified QMR algorithm based on the \(A\)-Lanczos biorthogonal process. (Chinese. English summary) Zbl 1363.65069 J. Math., Wuhan Univ. 36, No. 4, 767-774 (2016). MSC: 65F25 65F10 65F50 PDF BibTeX XML Cite \textit{J. Zhang} et al., J. Math., Wuhan Univ. 36, No. 4, 767--774 (2016; Zbl 1363.65069) OpenURL
Liu, Xudong; Wang, Zhengsheng; Xu, Guili Computing pseudospectra using augmented block Householder Arnoldi iteration. (English) Zbl 1363.65064 Commun. Appl. Math. Comput. 30, No. 2, 297-316 (2016). MSC: 65F15 65F10 65F20 PDF BibTeX XML Cite \textit{X. Liu} et al., Commun. Appl. Math. Comput. 30, No. 2, 297--316 (2016; Zbl 1363.65064) Full Text: DOI OpenURL
Issa, Kazeem; Adeniyi, R. B. Extension of generalized recursive tau method to non-linear ordinary differential equations. (English) Zbl 1353.65070 J. Niger. Math. Soc. 35, No. 1, 18-24 (2016). MSC: 65L05 34A34 PDF BibTeX XML Cite \textit{K. Issa} and \textit{R. B. Adeniyi}, J. Niger. Math. Soc. 35, No. 1, 18--24 (2016; Zbl 1353.65070) Full Text: DOI OpenURL
Bangay, Shaun; Beliakov, Gleb On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. (English) Zbl 1413.65089 Numer. Linear Algebra Appl. 23, No. 3, 485-500 (2016). MSC: 65F15 15B05 65T50 PDF BibTeX XML Cite \textit{S. Bangay} and \textit{G. Beliakov}, Numer. Linear Algebra Appl. 23, No. 3, 485--500 (2016; Zbl 1413.65089) Full Text: DOI OpenURL
Martínez, Ángeles Tuned preconditioners for the eigensolution of large SPD matrices arising in engineering problems. (English) Zbl 1413.65101 Numer. Linear Algebra Appl. 23, No. 3, 427-443 (2016). MSC: 65F15 65F08 PDF BibTeX XML Cite \textit{Á. Martínez}, Numer. Linear Algebra Appl. 23, No. 3, 427--443 (2016; Zbl 1413.65101) Full Text: DOI OpenURL
Dutta, Somak; Mondal, Debashis REML estimation with intrinsic Matérn dependence in the spatial linear mixed model. (English) Zbl 1419.62266 Electron. J. Stat. 10, No. 2, 2856-2893 (2016). MSC: 62M30 62P12 PDF BibTeX XML Cite \textit{S. Dutta} and \textit{D. Mondal}, Electron. J. Stat. 10, No. 2, 2856--2893 (2016; Zbl 1419.62266) Full Text: DOI Euclid OpenURL
Frommer, Andreas; Schweitzer, Marcel Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions. (English) Zbl 1353.65038 BIT 56, No. 3, 865-892 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F60 65F50 65F10 65F30 65D32 PDF BibTeX XML Cite \textit{A. Frommer} and \textit{M. Schweitzer}, BIT 56, No. 3, 865--892 (2016; Zbl 1353.65038) Full Text: DOI OpenURL
Greif, C.; Paige, C. C.; Titley-Peloquin, D.; Varah, J. M. Numerical equivalences among Krylov subspace algorithms for skew-symmetric matrices. (English) Zbl 1347.65062 SIAM J. Matrix Anal. Appl. 37, No. 3, 1071-1087 (2016). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{C. Greif} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 1071--1087 (2016; Zbl 1347.65062) Full Text: DOI OpenURL
Schweitzer, Marcel Monotone convergence of the extended Krylov subspace method for Laplace-Stieltjes functions of Hermitian positive definite matrices. (English) Zbl 1347.65088 Linear Algebra Appl. 507, 486-498 (2016). MSC: 65F60 65F10 PDF BibTeX XML Cite \textit{M. Schweitzer}, Linear Algebra Appl. 507, 486--498 (2016; Zbl 1347.65088) Full Text: DOI OpenURL
Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L. A global Lanczos method for image restoration. (English) Zbl 1382.94009 J. Comput. Appl. Math. 300, 233-244 (2016). MSC: 94A08 65F10 PDF BibTeX XML Cite \textit{A. H. Bentbib} et al., J. Comput. Appl. Math. 300, 233--244 (2016; Zbl 1382.94009) Full Text: DOI OpenURL
Teramoto, Kazuma; Nodera, Takashi A note on Lanczos algorithm for computing PageRank. (English) Zbl 1331.65062 Chen, Ke (ed.) et al., Forging connections between computational mathematics and computational geometry. Papers from the 3rd international conference on computational mathematics and computational geometry, CMCGS 2014, Singapore, February 3–4, 2014. Cham: Springer (ISBN 978-3-319-16138-9/hbk; 978-3-319-16139-6/ebook). Springer Proceedings in Mathematics & Statistics 124, 25-33 (2016). MSC: 65F15 PDF BibTeX XML Cite \textit{K. Teramoto} and \textit{T. Nodera}, Springer Proc. Math. Stat. 124, 25--33 (2016; Zbl 1331.65062) OpenURL
Bazán, Fermín S. V.; Kleefeld, Andreas; Leem, Koung Hee; Pelekanos, George Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers. (English) Zbl 1333.65124 Linear Algebra Appl. 495, 289-323 (2016). MSC: 65N21 35R30 35J05 65N38 65F22 PDF BibTeX XML Cite \textit{F. S. V. Bazán} et al., Linear Algebra Appl. 495, 289--323 (2016; Zbl 1333.65124) Full Text: DOI OpenURL
Khazaee, Adib; Lotfi, Vahid A new technique for determining coupled modes of structure-acoustic systems. (English) Zbl 1341.74150 Arch. Appl. Mech. 85, No. 7, 955-967 (2015). MSC: 74S05 PDF BibTeX XML Cite \textit{A. Khazaee} and \textit{V. Lotfi}, Arch. Appl. Mech. 85, No. 7, 955--967 (2015; Zbl 1341.74150) Full Text: DOI OpenURL
Zhang, Jianhua; Dai, Hua A new quasi-minimal residual method based on a biconjugate \(A\)-orthonormalization procedure and coupled two-term recurrences. (English) Zbl 1332.65046 Numer. Algorithms 70, No. 4, 875-896 (2015). MSC: 65F10 35J05 65N06 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{H. Dai}, Numer. Algorithms 70, No. 4, 875--896 (2015; Zbl 1332.65046) Full Text: DOI OpenURL
Liu, Bing; Xiang, Hua An approximate linear solver in least square support vector machine using randomized singular value decomposition. (English) Zbl 1340.65065 Wuhan Univ. J. Nat. Sci. 20, No. 4, 283-290 (2015). MSC: 65F20 62J05 65F15 68T05 PDF BibTeX XML Cite \textit{B. Liu} and \textit{H. Xiang}, Wuhan Univ. J. Nat. Sci. 20, No. 4, 283--290 (2015; Zbl 1340.65065) Full Text: DOI OpenURL
Hochstenbach, Michiel E.; Reichel, Lothar; Yu, Xuebo A Golub-Kahan-type reduction method for matrix pairs. (English) Zbl 1329.65082 J. Sci. Comput. 65, No. 2, 767-789 (2015). MSC: 65F22 PDF BibTeX XML Cite \textit{M. E. Hochstenbach} et al., J. Sci. Comput. 65, No. 2, 767--789 (2015; Zbl 1329.65082) Full Text: DOI OpenURL
Gaaf, Sarah W.; Hochstenbach, Michiel E. Probabilistic bounds for the matrix condition number with extended Lanczos bidiagonalization. (English) Zbl 1325.65051 SIAM J. Sci. Comput. 37, No. 5, S581-S601 (2015). MSC: 65F15 65F35 65F50 65F10 PDF BibTeX XML Cite \textit{S. W. Gaaf} and \textit{M. E. Hochstenbach}, SIAM J. Sci. Comput. 37, No. 5, S581--S601 (2015; Zbl 1325.65051) Full Text: DOI Link OpenURL
Li, Dongping; Zhang, Xiuying Efficient algorithms for solving shifted skew-symmetric matrix equations. (English) Zbl 1340.15006 Numer. Math., Nanjing 37, No. 1, 81-96 (2015). MSC: 15A06 65F10 PDF BibTeX XML Cite \textit{D. Li} and \textit{X. Zhang}, Numer. Math., Nanjing 37, No. 1, 81--96 (2015; Zbl 1340.15006) OpenURL
Aishima, Kensuke Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems. (English) Zbl 1325.65050 Numer. Math. 131, No. 3, 405-423 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{K. Aishima}, Numer. Math. 131, No. 3, 405--423 (2015; Zbl 1325.65050) Full Text: DOI OpenURL
Brandts, Jan H.; Reis da Silva, Ricardo On the subspace projected approximate matrix method. (English) Zbl 1363.65048 Appl. Math., Praha 60, No. 4, 421-452 (2015). Reviewer: Miroslav Tůma (Praha) MSC: 65F10 65F35 65F15 PDF BibTeX XML Cite \textit{J. H. Brandts} and \textit{R. Reis da Silva}, Appl. Math., Praha 60, No. 4, 421--452 (2015; Zbl 1363.65048) Full Text: DOI arXiv Link OpenURL
Li, Ren-Cang; Zhang, Lei-Hong Convergence of the block Lanczos method for eigenvalue clusters. (English) Zbl 1334.65073 Numer. Math. 131, No. 1, 83-113 (2015). Reviewer: Alan L. Andrew (Bundoora) MSC: 65F15 PDF BibTeX XML Cite \textit{R.-C. Li} and \textit{L.-H. Zhang}, Numer. Math. 131, No. 1, 83--113 (2015; Zbl 1334.65073) Full Text: DOI OpenURL
Lu, Ling; Xu, Wei; Qiao, Sanzheng A fast SVD for multilevel block Hankel matrices with minimal memory storage. (English) Zbl 1322.65052 Numer. Algorithms 69, No. 4, 875-891 (2015). MSC: 65F20 86A15 15B05 PDF BibTeX XML Cite \textit{L. Lu} et al., Numer. Algorithms 69, No. 4, 875--891 (2015; Zbl 1322.65052) Full Text: DOI OpenURL
Carson, Erin; Demmel, James W. Accuracy of the \(s\)-step Lanczos method for the symmetric eigenproblem in finite precision. (English) Zbl 1319.65024 SIAM J. Matrix Anal. Appl. 36, No. 2, 793-819 (2015). MSC: 65F15 65G50 PDF BibTeX XML Cite \textit{E. Carson} and \textit{J. W. Demmel}, SIAM J. Matrix Anal. Appl. 36, No. 2, 793--819 (2015; Zbl 1319.65024) Full Text: DOI OpenURL
Palchak, Elisabeth M.; Cibotarica, Alexandru; Lambers, James V. Solution of time-dependent PDE through rapid estimation of block Gaussian quadrature nodes. (English) Zbl 1307.65139 Linear Algebra Appl. 468, 233-259 (2015). MSC: 65M70 35K05 35L05 65M12 PDF BibTeX XML Cite \textit{E. M. Palchak} et al., Linear Algebra Appl. 468, 233--259 (2015; Zbl 1307.65139) Full Text: DOI OpenURL
Yang, Qianqian; Turner, Ian; Moroney, Timothy; Liu, Fawang A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1429.65215 Appl. Math. Modelling 38, No. 15-16, 3755-3762 (2014). MSC: 65M08 35R11 65F10 PDF BibTeX XML Cite \textit{Q. Yang} et al., Appl. Math. Modelling 38, No. 15--16, 3755--3762 (2014; Zbl 1429.65215) Full Text: DOI OpenURL